Integrability of superharmonic functions and subharmonic functions
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- by Hiroaki Aikawa
- Proc. Amer. Math. Soc. 120 (1994), 109-117
- DOI: https://doi.org/10.1090/S0002-9939-1994-1169019-7
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Abstract:
We apply the coarea formula to obtain integrability of superharmonic functions and nonintegrability of subharmonic functions. The results involve the Green function. For a certain domain, say Lipschitz domain, we estimate the Green function and restate the results in terms of the distance from the boundary.References
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Bibliographic Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 109-117
- MSC: Primary 31B05
- DOI: https://doi.org/10.1090/S0002-9939-1994-1169019-7
- MathSciNet review: 1169019